1849811040 has 768 divisors, whose sum is σ = 8291082240. Its totient is φ = 374077440.

The previous prime is 1849811039. The next prime is 1849811083. The reversal of 1849811040 is 401189481.

1849811040 is a `hidden beast` number, since 18 + 498 + 110 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1849810986 and 1849811004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22286839 + ... + 22286921.

It is an arithmetic number, because the mean of its divisors is an integer number (10795680).

Almost surely, 2^1849811040 is an apocalyptic number.

1849811040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1849811040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145541120).

1849811040 is an abundant number, since it is smaller than the sum of its proper divisors (6441271200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1849811040 is a wasteful number, since it uses less digits than its factorization.

1849811040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1849811040 is about 43009.4296637377. The cubic root of 1849811040 is about 1227.5592288249.

The spelling of 1849811040 in words is "one billion, eight hundred forty-nine million, eight hundred eleven thousand, forty".